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NONCOMMUTATIVE GRAPHENE

2013; World Scientific; Volume: 28; Issue: 16 Linguagem: Inglês

10.1142/s0217751x13500644

1793-656X

Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias, João Nuno Prata,

Black Holes and Theoretical Physics

We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated in the presence of an external magnetic field. We argue that, being a two-dimensional Dirac system, graphene is particularly interesting to test noncommutativity. We find that momentum noncommutativity affects the energy levels of graphene, but that it does not entail any kind of correction to the Hall conductivity.